Thursday

July 31, 2014

July 31, 2014

Posted by **matt** on Monday, December 11, 2006 at 6:55pm.

The first ball has a 1/75 chance of being selected. The second ball can be from either above or below the first, so it has a 2/74 chance of being chosen. The same process of selection continues through the fifth ball.

To find the probability that

With this information, you should be able to answer your own question.

I hope this helps. Thanks for asking.

I dont think thats right PsyDAG. What if the first ball is #1 -- there is no number below. Second, what if you picked balls in the following order; 5,3,1,2,4 would this be counted as a "success" as the numbers are, when rearranged, consecutive.

I think this is a combinatorial problem. The number of ways do draw 5 balls from a bag of 75 is 75-choose-5 or (75!)/((75-5)!*(5!)) where ! denotes factorial. This translates to (75*74*73*72*71)/(1*2*3*4*5) = 17259390. Now then, there are exactly 70 5-consecutive-balls combinations that could be drawn. (1,2,3,4,5), (2,3,4,5,6), ... (71,72,73,74,75). So, the probability is 70/17259390 = something very small

**Related Questions**

College Discrete - An urn contains n > 0 white balls and m > 0 black ...

Statistics - A box contains five numbered balls (1,2,2,3 and 4). We will ...

statistics - A box contains 3 white and 5 black balls. Four balls are drawn at ...

Probability - A nickel is flipped and a dime is flipped. 1. What is the ...

Math - A nickel is flipped and a dime is flipped. 1. What is the probability of...

statistics - 1. In a large box are 20 ping-pong balls—10 of them are red and ...

Math - A box contains 2 white calls and 7 pink balls. Two balls are drawn at ...

Math - A bag contains 5red balls and 4 white balls. Two balls are drawn at ...

probability - there are 4 white balls and 6 red balls in a sack. If two balls ...

Math - A bag contains 5 red balls and 4 white balls. Two balls are drawn at ...